8.2 ~ 45-45-90 Triangles

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Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a 45-45-90 triangle?
Back
A 45-45-90 triangle is an isosceles right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees.
2.
FLASHCARD QUESTION
Front
What is the relationship between the legs and the hypotenuse in a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is equal to the length of a leg multiplied by the square root of 2.
3.
FLASHCARD QUESTION
Front
If the length of each leg of a 45-45-90 triangle is 15, what is the length of the hypotenuse?
Back
The length of the hypotenuse is 15√2.
4.
FLASHCARD QUESTION
Front
How do you find the length of a leg in a 45-45-90 triangle if the hypotenuse is known?
Back
To find the length of a leg, divide the length of the hypotenuse by √2.
5.
FLASHCARD QUESTION
Front
What is the formula for the area of a 45-45-90 triangle?
Back
The area of a 45-45-90 triangle is (1/2) * leg^2.
6.
FLASHCARD QUESTION
Front
What is the value of x in a 45-45-90 triangle if the hypotenuse is 20?
Back
x = 20/√2 = 10√2.
7.
FLASHCARD QUESTION
Front
What is the significance of the 45-45-90 triangle in real-world applications?
Back
45-45-90 triangles are often used in construction, design, and various fields of engineering due to their predictable properties.
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